

A236249


Primes of the form C(2*m, m)  prime(m), where C(2*m, m) = (2*m)!/(m!)^2.


5




OFFSET

1,1


COMMENTS

Though the primes in this sequence are very rare, according to the conjecture in A236256 there should be infinitely many such primes.
See A236248 for a list of known numbers m with C(2*m, m)  prime(m) prime.
See also A236245 for a similar sequence.


LINKS

ZhiWei Sun, Table of n, a(n) for n = 1..12


EXAMPLE

a(1) = 3 since C(2*1, 1)  prime(1) = 0 is not prime, but C(2*2, 2)  prime(2) = 6  3 = 3 is prime.


MATHEMATICA

t[n_]:=Binomial[2n, n]Prime[n]
a[n_]:=t[A234248(n)]
Table[a[n], {n, 1, 6}]


CROSSREFS

Cf. A000040, A000984, A236241, A236242, A236245, A236248, A236256.
Sequence in context: A024044 A069640 A324444 * A013778 A146313 A092799
Adjacent sequences: A236246 A236247 A236248 * A236250 A236251 A236252


KEYWORD

nonn


AUTHOR

ZhiWei Sun, Jan 21 2014


STATUS

approved



